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Finding the Fourth Proportional to 298.16, 412.22 and 261.70

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Solution

The fourth proportional to 298.16, 412.22 and 261.70 is: 361.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.16 : 412.22 = 261.70 : x
  2. Step 2: Convert to fraction form
    298.16/412.22 = 261.70/x
  3. Step 3: Cross multiply
    298.16x = 412.22 × 261.70
  4. Step 4: Simplify right side
    298.16x = 107,877.97
  5. Step 5: Solve for x
    x = 107,877.97/298.16
  6. Step 6: Final answer
    x = 361.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.